Search a number
-
+
12233231220 = 2235728814723
BaseRepresentation
bin10110110010010100…
…00100101101110100
31011120112222112102210
423121022010231310
5200023201344340
65341520333420
7612102515100
oct133112045564
934515875383
1012233231220
115208381751
122454a74270
1311cc585772
148409b0900
154b8e91180
hex2d9284b74

12233231220 has 144 divisors (see below), whose sum is σ = 39899055168. Its totient is φ = 2792401920.

The previous prime is 12233231183. The next prime is 12233231233. The reversal of 12233231220 is 2213233221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2587779 + ... + 2592501.

It is an arithmetic number, because the mean of its divisors is an integer number (277076772).

Almost surely, 212233231220 is an apocalyptic number.

12233231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19949527584).

12233231220 is an abundant number, since it is smaller than the sum of its proper divisors (27665823948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233231220 is a wasteful number, since it uses less digits than its factorization.

12233231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12233231220 its reverse (2213233221), we get a palindrome (14446464441).

The spelling of 12233231220 in words is "twelve billion, two hundred thirty-three million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 881 980 1470 1762 2643 2940 3524 4405 4723 5286 6167 8810 9446 10572 12334 13215 14169 17620 18501 18892 23615 24668 26430 28338 30835 33061 37002 43169 47230 52860 56676 61670 66122 70845 74004 86338 92505 94460 99183 123340 129507 132244 141690 165305 172676 185010 198366 215845 231427 259014 283380 330610 370020 396732 431690 462854 495915 518028 647535 661220 694281 863380 925708 991830 1157135 1295070 1388562 1983660 2314270 2590140 2777124 3471405 4160963 4628540 6942810 8321926 12482889 13885620 16643852 20804815 24965778 29126741 41609630 49931556 58253482 62414445 83219260 87380223 116506964 124828890 145633705 174760446 203887187 249657780 291267410 349520892 407774374 436901115 582534820 611661561 815548748 873802230 1019435935 1223323122 1747604460 2038871870 2446646244 3058307805 4077743740 6116615610 12233231220